Question

If the pair of linear equations 2x + 3y – 5=0 and px – 6y - 8 = 0 has unique solution, find the value of p?​

Answer 1

Answer:

The pair of equations has a unique solution if:

a

2

a

1



=

b

2

b

1

For the given pair of equations: 2x+3y+5=0 and px+6y+8=0;

a

1

=2;a

2

=p;b

1

=3;b

2

=6

For

p

2



=

6

3

⟶p



=4

Hence, the given pair of equations has a unique solution for all values of p except $$4$$.